CUET · MATHS · PYQ PAPER 2025
Let the random variable \(X\) represent the positive difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. Then probability \(P ( X \leq 3)\) is equal to.
- A \(21/64\)
- B \(11/32\)
- C \(25/32\)
- D \(11 / 64\)
Answer & Solution
Correct Answer
(C) \(25/32\)
Step-by-step Solution
Detailed explanation
\(N=6\) \(X = |H-T| = |H-(N-H)| = |2H-N| = |2H-6|\) \(P(X \leq 3) \implies |2H-6| \leq 3\) \(-3 \leq 2H-6 \leq 3\) \(3 \leq 2H \leq 9\) \(1.5 \leq H \leq 4.5\) Possible values for \(H\) are \(\{2, 3, 4\}\) Favorable outcomes = \(\binom{6}{2} + \binom{6}{3} + \binom{6}{4}\)…
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